Pregunta
Write the equation that describes each line in slope-intercept form. Slope \( =-9 ; y \)-intercept \( =\left(0,-\frac{5}{4}\right) \) Slope \( =2 \); Point \( (3,4) \) is on line
Ask by Colon Kirk. in the United States
Mar 03,2025
Solución de inteligencia artificial de Upstudy
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The equations in slope-intercept form are:
1. \( y = -9x - \frac{5}{4} \)
2. \( y = 2x - 2 \)
Solución
For the first line with slope -9 and y-intercept (0, -5/4), the equation is:
y = -9x - 5/4
For the second line with slope 2 that passes through (3, 4), you can start with the point-slope form:
y - 4 = 2(x - 3)
Solve for y to convert to slope-intercept form:
y = 2x - 6 + 4
y = 2x - 2
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Simplifique esta solución Beyond the Answer
The equation of the first line can be expressed as \( y = -9x - \frac{5}{4} \). This is because we use the slope \( -9 \) and the \( y \)-intercept value \( -\frac{5}{4} \) directly in the formula \( y = mx + b \). For the second line, we can start from the point-slope form \( y - y_1 = m(x - x_1) \) using the slope \( 2 \) and the point \( (3,4) \). This results in \( y - 4 = 2(x - 3) \), which simplifies to \( y = 2x - 2 \) when put into slope-intercept form.
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